A circle has the center of A and the radius of 5. |BC| = 8; |AC|=|AB|=5
Find the area of the gray bit of the circle.
Hi Kane535, welcome to MHF.
Altitude from A on BC is 3.
So area of ABC = 1/2*8*3 = 12 sq. units
Angle ABC is given by
θ = 2*arctan(4/3)
Area of the sector ABC = 1/2*r^2*θ, where θ is in radians.
Now find the area of the shaded portion.